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Finding the Third Proportional to 361,150 and 483,159

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Solution

The third proportional to 361,150 and 483,159 is: 646,386.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    361,150 : 483,159 = 483,159 : x
  2. Step 2: Convert to fraction form
    361,150/483,159 = 483,159/x
  3. Step 3: Cross multiply
    361,150x = 483,159 × 483,159
  4. Step 4: Simplify right side
    361,150x = 233,442,619,281
  5. Step 5: Solve for x
    x = 233,442,619,281/361,150
  6. Step 6: Final answer
    x = 646,386.87

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.